The influence of hubs in the structure of a neuronal network during an epileptic seizure

Abstract

In this work, we propose changes in the structure of a neuronal network with the intention to provoke strong synchronization to simulate episodes of epileptic seizure. Starting with a network of Izhikevich neurons we slowly increase the number of connections in selected nodes in a controlled way, to produce (or not) hubs. We study how these structures alter the synchronization on the spike firings interval, on individual neurons as well as on mean values, as a function of the concentration of connections for random and non-random (hubs) distribution. We also analyze how the post-ictal signal varies for the different distributions. We conclude that a network with hubs is more appropriate to represent an epileptic state. BSM thanks the UNIEMP for their support. HAC thanks the FAPESP (process 2011/ 11973-4) for their support.

Coexistence of generalized synchronization and inverse generalized synchronization between chaotic and hyperchaotic systems

“…As a result, several research works have been published on this subject by researchers of different disciplines [5,6,9,34]. Due to the importance and interdisciplinary nature of nonlinear dynamical systems, its applications have been discovered in field studies like mathematics, physics, chemistry, engineering, economics, neuroscience and many more [7,8,10,11,13,33,37]. In search of the stable, fast and robust synchronization methods, such as linear and nonlinear feedback controllers, active control, passive control, backstepping, sliding mode control and many more, have been developed [1-3, 12, 39, 41].…”

Synchronization and control in time-delayed complex networks and spatio-temporal patterns

“…The articles can be grouped into four categories, namely 1. Synchronization and control in time delayed and other networks [23][24][25][26][27][28][29] [36][37][38][39][40][41].…”

“…In [29], the changes in the structure of a neuronal network with the Izhikevich model has been investigated to achieve strong synchronization to simulate episodes of epileptic seizure.…”

Caracterização e modelagem da atividade eletrofisiológica em pacientes com epilepsia

“…Um exemplo do LFP e disparos de neurônios com HR 0,3 (esquerda) e 0,7 (direita). Adaptado deRodrigues, Abner Cardoso et al (2016). 2: (a) Diferença entre a mediana da LZC para as redes aleatórias e não aleatórias.…”

“…(b) boxplot para o H calculado para 10 janelas de tempo com 100 pontos cada. Adaptado deRodrigues, Abner Cardoso et al (2016).…”